Options field guide
Plain-language guides to earnings, implied volatility, option strategies, target prices, and time decay
331 guides
Learn how Dynkin's formula connects Markov generators, expected change, stopping times, martingales, pricing equations, and moment calculations
Read guideCompare how Edgeworth and Gram–Charlier expansions use cumulants, why their ordering differs, and what can go wrong in option pricing and tail estimation
Read guideUnderstand eigenvalues, eigenvectors, covariance eigendecomposition, risk concentration, effective dimension, and instability from sampling error.
Read guideUnderstand endogeneity from omitted variables, simultaneity, and measurement error; IV relevance and exclusion; 2SLS, LATE, weak instruments, and financial identification.
Read guideUnderstand exponential tilting, cumulant shifts, Lévy measure changes, martingale parameter selection, incomplete markets, and existence checks
Read guideCompare exercising a call with selling it by intrinsic value, remaining time value, stock funding, dividends, liquidity, taxes, and expiration handling.
Read guideCompare exercising a put with selling it by intrinsic and time value, owned shares, short-stock risk, liquidity, costs, taxes, and expiration rules.
Read guideUnderstand extreme value limits, GEV tail classes, the tail index, threshold estimation, clustering, and how EVT extrapolates VaR and Expected Shortfall beyond observed losses
Read guideUnderstand common and idiosyncratic returns, observed and latent factors, factor loadings, factor returns, risk premia, estimation, and attribution.
Read guideUnderstand the Feller condition, zero-boundary behavior, nonnegativity versus strict positivity, and numerical consequences for CIR and Heston models
Read guideLearn how Feynman–Kac links linear pricing PDEs with discounted conditional expectations, including generators, cash flows, numerics, and limits
Read guideLearn how finite differences solve an option pricing PDE on a grid, how explicit, implicit, and Crank–Nicolson schemes differ, and where numerical error enters
Read guideUnderstand within estimation, time-invariant factors, the random-effects orthogonality assumption, the Mundlak approach, Hausman tests, and financial panel applications.
Read guideUnderstand truncation, quadrature, aliasing, interpolation, damping, and complex-arithmetic errors in Fourier option pricing and how to diagnose them
Read guideLearn how no arbitrage, equivalent martingale measures, and market completeness fit together in the fundamental theorem of asset pricing
Read guideLearn how gamma scalping rebalances a delta hedge, where gamma and theta P&L come from, and why volatility, gaps, spreads, and trading costs matter.
Read guideLearn how Girsanov's theorem changes Brownian drift between probability measures, why volatility stays fixed, and how risk-neutral dynamics arise
Read guideUnderstand how dynamic programming produces the HJB equation for stochastic control, portfolio choice, verification, constraints, and numerical policy design
Read guideLearn why classical standard errors fail, what White, clustered, and Newey–West HAC estimators permit, how to select them, and where robust inference stops in financial data.
Read guideLearn how option sales, buy-to-close trades, expirations, exercise and Section 1256 contracts can appear on Form 1099-B and when Form 8949 needs adjustment.
Read guideLearn how U.S. federal taxes can differ when an option is sold, expires, is exercised or assigned, and why Section 1256 and straddle rules matter.
Read guideLearn which options may qualify for Section 1256, how year-end mark-to-market and 60/40 treatment work, and why index or cash settlement is not enough.
Read guideSee how call exercise, put assignment, put exercise and covered-call assignment change stock basis or sale proceeds under general U.S. federal tax rules.
Read guideLearn how option-account approval works, what brokers review, why trading levels differ, and how to respond truthfully to a denial or request a later upgrade.
Read guide
